Project: Computation of multi-phase flows by a Finite difference/Front tracking method
Abstract
Multiphase flows play a very important
role in various engineering applications. Many examples can be found in
the petrochemical and food industry. Most of the prediction
methods for multiphase flows have been based on so-called two or
multifluid models. In such a model volume averaged equations for the
different phases are solved. Due to the averaging procedures a lot of
information, related to the small scale dynamics, is lost. Therefore
these models are of limited use in practical applications and
improvement is necessary. More complete mathematical models can be
devised, but their implementation requires very large computer
resources, such as only now are coming available, combined with
efficient numerical algorithms and modern computer languages. This is
the path to be pursued in the proposed project. The governing equations
will be solved for every phase separately, without volume averaging, and
applying appropriate boundary conditions on the interface between the
phases.
Phd Students financed by NWO
Tenured staff financed by TU-Delft
Computational methods
In this project we make use of a
combined Volume of Fluid (VOF) and Levelset (LS) method to calculate
two phase flows. The LS method is primarily used for the
interface advection and the VOF method is used to ensure the
conservation of mass. At the last Computational science meeting we have given a short overview. The method is described in detail by Sander van der Pijl.
Highlights
A rising oil droplet in water. The top
part of the figure is simulated with our numerical model. The lower
part of the figure is obtained experimentally in our laboratory.
The small difference between the snapshots 4 and 5 is due to
differences in surface tension forces between simulation and experiment
(the exact value of the surface tension in the experiment is not known)
The rise velocity and position of the oil bubble, obtained from the simulations (lines) and experiment (symbols)
A small movie of a falling droplet
Conferences
We will organise a conference on the numercal simulation of interface phenomena in August 2006
Scientific output so far
Benjamin Vrolijk and Frits H. Post.
Fast out-of-core isosurface extraction and rendering of time-varying data sets.
In B. J. A. Kröse, H. J. Bos, E. A. Hendriks and J. W. J. Heijnsdijk, editors,
Proceedings of the eleventh annual conference of the Advanced School for Computing and Imaging,
pages 120-129, June 2005, ISBN 90-803086-0-9.
Benjamin Vrolijk and Frits H. Post.
Interactive out-of-core isosurface visualisation in time-varying data sets.
Submitted to Computers & Graphics, Elsevier, ISSN 0097-8493.
Benjamin Vrolijk, Charl P. Botha and Frits H. Post.
Fast extraction and rendering of isosurfaces from 4D data.
In J. J. van Wijk, J. W. J. Heijnsdijk, K. G. Langendoen and R. Veltkamp, editors,
Proceedings of the tenth annual conference of the Advanced School for Computing and Imaging,
pages 281-290, June 2004, ISBN 90-803086-9-2.
Benjamin Vrolijk, Charl P. Botha and Frits H. Post.
Fast Time-Dependent Isosurface Extraction And Rendering.
In Alexander Pasko, editor,
Proceedings of the Spring Conference on Computer Graphics 2004,
pages 39-48, ISBN 80-223-1918-X.
Robert S. Laramee, Helwig Hauser, Helmut Doleisch, Benjamin Vrolijk, Frits H. Post and Daniel Weiskopf.
The State of the Art in Flow Visualization: Dense and Texture-Based Techniques.
Computer Graphics Forum, 23(2), June 2004, pages 203-221, ISSN 0167-7055.
Frits H. Post, Benjamin Vrolijk, Helwig Hauser, Robert S. Laramee and Helmut Doleisch.
The State of the Art in Flow Visualisation: Feature Extraction and Tracking.
Computer Graphics Forum, 22(4), December 2003, pages 775-792, ISSN 0167-7055.
Freek Reinders, I. Ari Sadarjoen, Benjamin Vrolijk, and Frits H. Post.
Vortex tracking and visualisation in a flow past a tapered cylinder.
Computer Graphics Forum, 21(4), November 2002, pages 675-682, ISSN 0167-7055.
Benjamin Vrolijk, Freek Reinders, and Frits H. Post.
Feature tracking with skeleton graphs.
In Frits H. Post, Gregory M. Nielson, and Georges-Pierre Bonneau, editors,
Data Visualization: The State of the Art, pages 37-52.
Kluwer Academic Publishers, Boston, October 2002,
ISBN 1-4020-7259-7.
Frits H. Post, Benjamin Vrolijk, Helwig Hauser, Robert S. Laramee, and Helmut Doleisch.
Feature extraction and visualisation of flow fields.
In Dieter Fellner and Roberto Scopigno, editors,
Eurographics 2002 State of the Art Reports, pages 69-100.
The Eurographics Association, Saarbrücken, Germany, September 2002,
ISSN 1017-4565
